Design of Multiple Order Allpass Transformed DFT Filter-Banks with Aliasing-Free Signal Reconstruction by Linear Programming
Löllmann H, Dartmann G, Vary P (2008)
Publication Language: English
Publication Type: Conference contribution, Conference Contribution
Publication year: 2008
Publisher: VDE Verlag GmbH
City/Town: Berlin
Event location: Aachen
ISBN: 978-3-80073-120-6
Abstract
The allpass transformation of multiple order is a very general approach
to design a frequency warped analysis-synthesis filter-bank (AS FB) with
non-uniform time-frequency resolution. In the design process, the delay
elements of the analysis filter-bank are substituted by allpass filters
of higher order to achieve a very flexible control over its frequency
selectivity. Analytical closed-form designs for the synthesis
filter-bank can ensure perfect reconstruction (PR), but the synthesis
subband filters are not necessarily stable or exhibit a bandpass
characteristic. We tackle these problems by a constrained least-squares
error (CLS) design. The coefficients of the new synthesis filter-bank
are determined by a linear set of equations with linear constraints. The
resulting synthesis filters are stable and exhibit a distinctive
bandpass characteristic. Our design by linear programming can achieve an
aliasing-free, near-perfect signal reconstruction, where the signal
delay is an adjustable design parameter. These properties make the
proposed filter-bank of interest for subband processing systems
requiring non-uniform frequency bands.
Authors with CRIS profile
How to cite
APA:
Löllmann, H., Dartmann, G., & Vary, P. (2008). Design of Multiple Order Allpass Transformed DFT Filter-Banks with Aliasing-Free Signal Reconstruction by Linear Programming. In VDE Verlag GmbH (Eds.), Proceedings of the ITG-Fachtagung Sprachkommunikation. Aachen, DE: Berlin: VDE Verlag GmbH.
MLA:
Löllmann, Heinrich, Guido Dartmann, and Peter Vary. "Design of Multiple Order Allpass Transformed DFT Filter-Banks with Aliasing-Free Signal Reconstruction by Linear Programming." Proceedings of the ITG-Fachtagung Sprachkommunikation, Aachen Ed. VDE Verlag GmbH, Berlin: VDE Verlag GmbH, 2008.
BibTeX: Download